POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DISCRETE SYSTEMS AND POPULATION MODELS YOUSSEF N RAFFOUL doc

POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DISCRETE SYSTEMS AND POPULATION MODELS YOUSSEF N. RAFFOUL doc

... A.DattaandJ.Henderson,Differences and smoothness of solutions for functional difference equa-tions, Proceedings of the First International Conference on Difference Equations (San An-tonio, Tex, ... Reid, and K. C. Yin, Positive solutions of nonlinear functional differ-ence equations,Comput.Math.Appl.42 (2001), no. 3-5, 639–646.[5] J.HendersonandW .N. Hudson,Eigenvalue problems for nonlinear functional- differential ... solutions References[1] S. S. Cheng and G. Zhang, Existence of positive periodic solutions for non-autonomous functional differential equations,Electron.J.Differential Equations 2001 (2001), no....

EXISTENCE AND GLOBAL STABILITY OF POSITIVE PERIODIC SOLUTIONS OF A DISCRETE PREDATOR-PREY SYSTEM potx

... delay and Holling type III functional response. By us-ing the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some suﬃcient conditions are obtained.1. IntroductionMany ... response functions (Holling [12]),Ivlev’s functional response (Ivlev [17]), and Rosenzweig functional response (Rosenzweig[22]). Systems with Holling-type functional response have been investigated ... Existence and stability of periodic solutions 2. Existence of positive periodic solutionIn order to obtain the existence of positive periodic solution of (1.5), for the reader’sconvenience,...

Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt

... co-efficients on finite intervals. Moreover results obtained can be useful in investigation of such asymptotic problems as describing the asymptotic behavior of solutions and theinvestigation concerning ... formulas. Discrete systems of the form (1.1) containing only one delay are oftencalled systems with pure delay. The main goal of the present paper is to extend the notion of the delayed exponential of ... example, in the recent papers [2–9, 11–13].REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANTCOEFFICIENTS AND PURE DELAYJ. DIBLÍK AND D. YA. KHUSAINOVReceived 16 January...

Báo cáo hóa học: "Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay" pdf

... ask→∞, and hence, u n+ nk→ p∗ n in C uniformly for n ∈ Z+as k →∞.Sinceu n + n k+1=F n + n k,u n+ nk=F n + n k,u n+ nk−F n + n k, p∗ n +F n + n k, p∗ n −G n, ... j∗<ω.Now, set uk (n) = u (n + n k). Notice that u n+ nk( j) = u (n + n k+ j) = uk (n + j) = uk n ( j )and hence, u n+ nk= uk n .Thus,uk (n +1)= u n + n k+1=F n + n k,u n+ nk=F n ... 2006.[16] Y. Song and H. Tian, Periodic and almost periodic solutions of nonlinear Volterra diﬀerenceequations w ith unbounded delay,” to appear in Journal of Computational and Applied Mathe-matics.[17]...

báo cáo hóa học:" Research Article Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation" ppt

... that conditions1 and 2 in Theorem 2.1 hold. Now we prove that the functional Φ satisﬁes PS conditionon E. In the following, C denotes a universal positive constant, and ·, · denotes the ... of linear Hamiltonian systems with a nonlinearperturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearityon the kernel of the linear part, existence of periodic ... to N- dimmensional systems of Duﬃng’s type II,” Journal of Qingdao University, vol. 7, pp. 19–26, 1994.8 Z Q. Han, “Computations of cohomology groups and nontrivial periodic solutions of...

Báo cáo hóa học: " Research Article Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems" doc

... t ∈ a n ,c n , and the function y n : u n − L/ρ2is strictly increasing on a n ,c n . We use ξ n todenote the inverse function of y n restricted to a n ,c n .In order to obtain 3.14, ... ∈ 0, 2π × 0, ∞1.2 and gu > 0 is nonincreasing and hu/gu is nondecreasing in u;G3 there exist continuous, nonnegative functions g1u and h1u on 0, ∞ such thatFt, ... Multiplying 3.2 by u n t and integratingfrom a n to c n ,weobtainR1α n Fξ n y,Jydy c n a n Ft, Ju n t− ωu n tdt c n a n F n t, Ju n t− ωu n tdtc n a n u n tu n tdt...

Báo cáo hóa học: "Research Article Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value " potx

... Sh. Guseinov, “On the existence of positive solutions for nonlinear diﬀer-ential equations with periodic boundary conditions,” Journal of Computational and Applied Mathematics,vol. 132, no. 2, ... Torres, and M. Zhang, Periodic solutions of second order non-autonomous singular dy-namical systems, ” Journal of Diﬀerential Equations, vol. 239, no. 1, pp. 196–212, 2007.4 M. A. del Pino and ... ∈ 0, 2π × 0, ∞1.2 and gu > 0 is nonincreasing and hu/gu is nondecreasing in u;G3 there exist continuous, nonnegative functions g1u and h1u on 0, ∞ such thatFt,...

Báo cáo hóa học: "Research Article Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay" ppt

... Z × R n → R n is continuous in x ∈ R n for every n ∈ Z and is almost periodic in n ∈ Zuniformly for x ∈ R n , B : Z × Z × R n × R n → R n is continuous in x, y ∈ R n for any j ≤ n ∈ Z and is ... Y. Song and H. Tian, Periodic and almost periodic solutions of nonlinear discrete Volterra equationswith unbounded delay,” Journal of Computational and Applied Mathematics, vol. 205, no. 2, ... realnumbers, and the set of nonpositive real numbers. Let R n denote n- dimensional Euclideanspace.Deﬁnition 2.1 see 6. A continuous function f : R × R n → R n is called almost periodic in t ∈ Runiformly...

PERIODIC SOLUTIONS OF A DISCRETE-TIME DIFFUSIVE SYSTEM GOVERNED BY BACKWARD DIFFERENCE pdf

... Ginzburg, and H. R. Akcakaya, Variations in plankton densities among lakes: Acase for ratio-dependent models, Amer.Natural.138 (1991), 1287–1296.[3] R. Arditi, N. Perrin, and H. Saiah, Functional ... Functional responses and heterogeneities: An experimental testwith cladocerans,OIKOS60 (1991), 69–75.[4] R. Arditi and H. Saiah, Empirical evidence of the role of heterogeneity in ratio-dependent ... 737–748.[7] M. Fan and K. Wang, Periodicity in a delayed ratio-dependent predator-prey system,J.Math.Anal. Appl. 262 (2001), no. 1, 179–190.[8], Periodic solutions of a discrete time nonautonomous ratio-dependent...

Báo cáo toán học: " Positive periodic solutions for neutral multi-delay logarithmic population model" pot

... Zhong NanDa Xue Qian Yan Yan Jiu Ji Hua under grant No. 2010QZZD015, Hunan Scientiﬁc Planunder grant No. 2011FJ6037, NSFC under grant No. 61070190 and NFSS under grant10BJL020.References[1] ... that theenvironments of most natural populations change with time and that such changes inducevariation in the growth characteristics of populations. Among many population models, the neutral ... This14 Positive periodic solutions for neutral multi-delaylogarithmic population modelMei-Lan Tang∗ and Xian-Hua TangSchool of Mathematical Science and Computing Technology,Central South University,...

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